Question

The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.

	Distance (m)	Time (sec.)
Elevator- A	435	29
Elevator- B	448	28
Elevator- C	130	10
Elevator- D	85	5

How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?

Answer 1

On the basis of given table,

Elevator A takes 29s to cover 435 m.

∴ Distance covered by elevator A in 1s = `435/29` = 15 m

Elevator B takes 28s to cover 448 m.

∴ Distance covered by elevator B in 1s = `448/28` = 16 m

Elevator C takes 10s to cover 130 m.

∴ Distance covered by elevator C in 1s = `130/10` = 13 m

Elevator D takes 5s to cover 85 m.

∴ Distance covered by elevator D in 1s = `85/5` = 17 m

Hence, in 1s, elevator D covers more distance as compare to elevators A, B and C. So, elevator D is fastest, while elevator C covers least. Hence elevator C is slowest.

Now, elevator B covers distance in 140s = 140 × 16 = 2240 m  ...[∵ Distance = Speed × Time]

Elevator C covers distance in 140s = 140 × 13 = 1820 m

∴ Elevator B covers more distance than C = 2240 – 1820 = 420 m