Question

Jane and sali cycled along the same 63 km route.

Jane took 3.5 hours to cycle the 63 km.
Sali started to cycle 4 minutes after Jane started to cycle.
Sali caught up with Jane when they had both cycled 30 km.
Jane and sali both cycled at a constant speeds.
Work out sali's speed in km/h.

Answer 1

Answer:Thus, the speed of Sali was 18.75 km/h.

Explanation:

Sali's speed was 18.75 km/h.

Answer 2

Sali's speed was 18.75 km/h.

Explanation:

Jane took 3.5 hours to cycle the 63 km.

As,
`Speed= (Distance)/(Time)` , so the speed of Jane will be:
`(63)/(3.5) km/h = 18 km/h`

Suppose, the speed of Sali is
`x` km/h

Sali caught up with Jane when they had both cycled 30 km.

So, the time required for Jane to cycle 30 km
`= (30)/(18)=(5)/(3) hours` and the time required for Sali to cycle 30 km
`=(30)/(x) hours`

Given that, Sali started to cycle 4 minutes or
`((4)/(60)) or ((1)/(15)) hours` after Jane started to cycle. So, the equation will be.......

`(5)/(3)-(30)/(x)= (1)/(15)\\ \\ (30)/(x)= (5)/(3)-(1)/(15)\\ \\ (30)/(x)= (24)/(15)\\ \\ 24x=450\\ \\ x= (450)/(24)= 18.75`

Thus, the speed of Sali was 18.75 km/h.