The speed of A and B are in the ratio 1/4 ∶ 1/5. They both cover a c

1.	The speed of A and B are in the ratio 1/4 ∶ 1/5. They both cover a certain distance but A takes 25 minutes less than B. Find the time taken by B to cover the distance?1. 2.08 hr2. 2.50 hr3. 3.08 hr4. 3.50 hr
Answer» Correct Answer - Option 1 : 2.08 hr Given: The speed of A and B are in the ratio 1/4 ∶ 1/5 and A takes 25 minutes less than B to cover the certain distance. Concept used: Speed = Distance/Time Calculation: Let the ratio be x and the distance be D And the speed of A and B are in the ratio 1/4 ∶ 1/5 = 5 ∶ 4 ∴ The speed of A is 5x and the speed of B is 4x Let A takes t1 time to cover the distance and B takes t2 time to cover the distance Time taken by A = t1 = D/5x And Time taken by B = t2 = D/4x Now, B takes 25 min more than Ram ∴ t2 – t1 = D/4x - D/5x = 25/60 = 25/3x Now, Time taken by B = 25x/3/4x = 2.08 hours ∴ B will take 2.08 hours to cover the same distance

The speed of A and B are in the ratio 1/4 ∶ 1/5. They both cover a certain distance but A takes 25 minutes less than B. Find the time taken by B to cover the distance?1. 2.08 hr2. 2.50 hr3. 3.08 hr4. 3.50 hr

Answer» Correct Answer - Option 1 : 2.08 hr

Given:

The speed of A and B are in the ratio 1/4 ∶ 1/5 and A takes 25 minutes less than B to cover the certain distance.

Concept used:

Speed = Distance/Time

Calculation:

Let the ratio be x and the distance be D

And the speed of A and B are in the ratio 1/4 ∶ 1/5 = 5 ∶ 4

∴ The speed of A is 5x and the speed of B is 4x

Let A takes t1 time to cover the distance and B takes t2 time to cover the distance

Time taken by A = t1 = D/5x

And Time taken by B = t2 = D/4x

Now, B takes 25 min more than Ram

∴ t2 – t1 = D/4x - D/5x = 25/60 = 25/3x

Now, Time taken by B = 25x/3/4x = 2.08 hours

∴ B will take 2.08 hours to cover the same distance

Discussion

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