Question

Anita can cover a sure separation in 1hr 24min by covering two-third of the separation at 4km/hr and the rest at 5 km/hr. Find the aggregate separation.​

Answer 1

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Answer 2

Concept

The term "distance traveled" refers to how far an object has traveled in a certain amount of time to get to its destination.

Given

Time covered by Anita = 1 hr 24 min

distance Anita covered = 2/3 of separation at 4km/hr

remaining distance = 5km/hr

Find

Identify the aggregate separation.

Solution

let the total separation be x km.

given, total time = 1 hr 24 min

convert hours to minutes.

1 hr 24 min = 60+24/60

= 84/60

= 21/15 minutes.

Anita covers 2/3 of the distance at 4km/hr then time to cover this distance = = 2/3s/4 = 2/12s

Remaining distance = s ₋ 2/s = 1/3s

Anit covers rest of the distance at 5km/hr then time to cover rest distance = 1/3s/5 = 1/15s

∴ 21/15 =  2/12s ₊ 1/15s

21/15 = 14/60s

s = 14×15/21×60

s = 6 km

thus, there is a 6 kilometer overall separation.

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