Question

You and a friend each drive 49 km to the same destination. You travel at 89.3 km/h and your friend at 98.2 km/h. How long will your friend wait for you at the end of the trip? Answer in units of min.

Answer 1

time, t = 3.6 min

Given:

Distance covered, d = 49 Km

My travel speed, v = 89.3 km/h

Friend's travel speed, v' = 98.2 km/h

Solution:

From the formula of speed, distance and time:

`time, T = (distance, d)/(speed)`

Time taken by me, T;

`time, T = (d)/(v)`

`time, T = (49)/(89.3) = 0.55 h`

Now,

Time taken by friend:

`time, T' = (d)/(v')`

`time, T = (49)/(98.2) = 0.49 h`

Friend's wait time, t = T - T' = 0.55 - 0.49 = 0.06 h

In minutes;

t =
`0.06* 60 = 3.6 min`