# Time and Distance Part 6

Problem 1: The ratio between the rates of traveling of A and  B IS 2:3 and therefore A takes 10minutes more than the time taken by B to reach the destination. If A had walked at double the speed the time taken by him to reach the destination would have been?

Solution:

Note: Speed and time are inversely proportion

A    :    B

S          2     :       3

T         3      :       2

1———->10

3———->?$\frac{10\times&space;3}{1}$=30

2———->?$\frac{10\times&space;2}{1}$=20

Problem 2: A man is walking at a speed of 10km/hr. After every km, he takes rest for 4min. How much time will he take to cover a distance of 10km?

Solution:

1h———->10km

60min—–>10km

10-1=9

9*4=36

Total time=1 hour 36 min

Problem 3: A boy walks a certain distance and rides back taking a total time of 37min. I could walk both ways in 55min. How long would it take me to ride both ways?

Solution:

w+r=37

2w=55

(w+r)*2=37*2