IBPS SO Prelims Exam Model Paper 7

Given:
The ratio between the rates of travelling of A and B is 4 : 5
and A takes 10 minutes more than the time taken by B.
A had walked at 4 times the original speed
Formula used:
Time = Distance/Speed
Calculation:
Let speed of A and B be 4x and 5x respectively.
And let total distance be d
Time taken by A =

Distance

Speed

⇒

d

4x

Time taken by B =

d

5x

According to question,

d

4x

= (

d

5x

) + 10
⇒ (

d

‌

4x) - (

d

5x

) = 10
⇒

(5d−4d)

20x

= 10
⇒ d = 10 × 20x
⇒ d = 200x
So, time taken by A when his speed 4 times the original speed =

(Total‌distance)

4×(Speed‌of‌A)

⇒

200x

(4×4x)

⇒

200x

16x

⇒ 12.5 minutes
∴ A will take to cover the same distance in 12.5 minutes.