Question

Hazel and Tom travel the same 18 km route.

Hazel starts at 9. 00 am and walks at a constant speed of 4. 8 km/h


Tom starts at 9. 39 am and runs at a constant speed.


Tom overtakes Hazel at 10. 15 am


At what time does Tom finish the route?

Answer 1

11:27 am.

Explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.