1276 . A train traveled p miles in 40 minutes and completed the remaining 200 miles of the trip in q minutes. What was its average speed, in miles per hour for the entire trip?

A. 60(p+200)/ (40+q)
B. 240/(p+q)
C. 4/(p+q)
D. None

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Answer: Option A

Explanation:

The average speed of the train for the entire trip can be calculated by dividing the total distance traveled by the total time taken. The total distance traveled is p + 200 miles, and the total time taken is 40 + q minutes. To convert minutes to hours, we divide by 60. Therefore, the average speed in miles per hour is:

(40+q)/60p+200

To simplify this expression, we multiply both the numerator and the denominator by 60, and get:

40+q60(p+200)

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বাপেক্স || সহকারী ব্যবস্থাপক (27-01-2023)

A. 60(p+200/(40+q)

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Answer: Option A

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বিমান বাংলাদেশ এয়ারলাইন্স লিঃ নিয়োগ পরীক্ষা-২০১৮। গ্রাউন্ড সার্ভিস অ্যাসিসটেন্ট। ১৩.১০.২০১৮

A. 30 km/hr
B. 40 km/hr
C. 50 km/hr
D. 60 km/hr

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Answer: Option B

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বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২

A. 200 miles
B. 230 miles
C. 150 miles
D. 300 miles

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Answer: Option B

Explanation:

The train travelled = 50×2.5 + 70×1.5 = 125 + 105 = 230 miles

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1280 . A train went 300 km city X to City at an average speed of 10 km/h. At what speed did it travel on the way back if its average speed for the whole trip was 120 km/h?

A. 120 km/h
B. 125 km/h
C. 130/h
D. 150 km/h

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Answer: Option D

Explanation:

100 km/h এ city X থেকে city Y তে যেতে সময় লাগে 300/100 ঘন্টা = 3 ঘন্টা

যাওয়া ও আসার জন্য মোট ভ্রমনের সময় লাগে = 300 × 2 /120 = 5 ঘন্টা

সুতরাং, ফিরতি

ভ্রমনের জন্য সময় থাকে = 5 - 3 = 2 ঘন্টা

তাহলে ফিরতি বেগ হলে = 300/2 km/h = 150km/h

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1281 . A train went 300 miles from city X to city Y at an average speed of 100 mph. At what speed did it travel on the way back if its average speed for the whole trip was 120 mph?

A. 120 mph
B. 125 mph
C. 150 mph
D. 130 mph

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Answer: Option C

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1282 . A train went 300 miles from city X to city Y at an average speed of 80 mph. At what speed did it travel on the way back if its average speed for the whole trip was 100 mph?

A. 120 mph
B. 125 mph
C. 133.33 mph
D. 137.5 mph

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Answer: Option C

Explanation:

Total time spent = (300 + 300) / 100 = 6 hours

Time spent on departure trip = 300 / 80 = 3.75 hours

Time spent on return trip = 6 - 3.75 = 2.25 hours

Average speed on return trip = 300 / 2.25 = 133.33 miles per hour.

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Bangladesh Bank - Assistant Director - 2006

A. 18 sec
B. 24 sec
C. 30 sec
D. 36 sec

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Answer: Option B

Explanation:

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. 75
B. 81
C. 72
D. 74

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Answer: Option B

Explanation:

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1285 . A triangle has a base x and and an altitude y. A second triangle has a base twice the altitude of the first triangle and and an altitude twice the base of the first triangle. What is the area of the second triangle?

A. 2xy
B. 0.5xy
C. 0.66 xy
D. 4xy

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Answer: Option A

Explanation:

a triangle has a base x and an altitude y

A second triangle has a base twice the altitude of the first triangle = 2x

and an altitude twice the base of the first triangle = 2y

∴Area of 2nd triangle = (1/2)(2x)(2y) = 2xy

ans: 2xy

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1286 . A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?

A. 3
B. 4
C. 10
D. 6

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Answer: Option D

Explanation:

We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one.

Looking at the options, we can't have 8 as the value for the longest side because then this side would be greater than the sum of the other two sides.

Similarly, we can't have 2 or 4 as values for the longest side as it wouldn't be the longest side then.

The correct answer is 6 here, where the other sides are 3 & 4.

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1287 . A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?

A. 60 cm
B. 44 cm
C. 54 cm
D. 72 cm

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Answer: Option C

Explanation:

A 50% increase in the side lengths will result in a 50% increase in the perimeter as well. S, the new perimeter of the triangle = 36 + 50% of 36 = 36 + 18 = 54 cm

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1288 . A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

A. 60 meter
B. 54 meter
C. 48 meter
D. 50 meter

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Answer: Option D

Explanation:

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1289 . A truck covers a distance of 550 metres in 1 minute where as a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :

A. 3 : 4
B. 4 : 3
C. 3 : 5
D. 50 : 3

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Answer: Option A

Explanation:

In the case of truck

S = 550m/60 = 9.166 = 9 m/sec

In the case of Bus

S = ( 33×1000)m /( 45×60)sec = 12 m/sec

So the speed ratio of truck : Bus = 9 : 12 = 3 : 4

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1290 . A truck driver must be complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for first 3 hours, then how fast must he travle for the final hour?

A. 25
B. 35
C. 40
D. 30

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Answer: Option D

Explanation:

d = s x t

= 50 x 3

= 150

now distance left

= 180 - 150

= 30

thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour

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1276 . A train traveled p miles in 40 minutes and completed the remaining 200 miles of the trip in q minutes. What was its average speed, in miles per hour for the entire trip?

1277 . A train traveled p miles in 40 minutes and completed the remaining 200 miles of the trip in q minutes. What was its average speed in miles per hour for the entire trip?

1278 . A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

1279 . A train travels at an average speed of 50 miles per hour for 2.5 hour and then travels at an average speed of 70 miles per hour for 1.5 hours. How far did the train travel in the entire 4 hour?

1280 . A train went 300 km city X to City at an average speed of 10 km/h. At what speed did it travel on the way back if its average speed for the whole trip was 120 km/h?

1281 . A train went 300 miles from city X to city Y at an average speed of 100 mph. At what speed did it travel on the way back if its average speed for the whole trip was 120 mph?

1282 . A train went 300 miles from city X to city Y at an average speed of 80 mph. At what speed did it travel on the way back if its average speed for the whole trip was 100 mph?

1283 . A train with a length of 150m long, takes 30 seconds to cross a 500m long bridge. How much time will the take to cross a 370m long platform?

1284 . A tree increases annually by 1/8th of its hight. By how much will it increase after 2 years, if it stands today 64 cm high?

1285 . A triangle has a base x and and an altitude y. A second triangle has a base twice the altitude of the first triangle and and an altitude twice the base of the first triangle. What is the area of the second triangle?

1286 . A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?

1287 . A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?

1288 . A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

1289 . A truck covers a distance of 550 metres in 1 minute where as a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is :

1290 . A truck driver must be complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for first 3 hours, then how fast must he travle for the final hour?

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