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She runs at a constant speed of 4m/s. When Christopher realized what just happened, he followed her ten (10) seconds later at a constant speed of 5 m/s. They both went to the nearest comfort room that is 400 m away from the church. (a) How long will it take Christopher to overtake Jackie? (b) How far is Jackie from church when overtaken by Christopher?

Sagot :

Sorrow477447go

Answer:

a. 40 seconds

b. 200 meters

Explanation:

let:

x - no. of seconds elapsed

using the formula:

Speed=distance/time

or distance=speed*time

to answer (a), equate the distance of Christopher and Jackie after x seconds

4(x+10)=5x, Christopher was late 10 seconds, so Jackie has 10 seconds headstart

4x+40=5x

5x-4x=40

x=40 seconds

to answer (b)

just substitute the answer of (a) to any the two distances

x=40

4(x+10)=4(40+10)=4(50)=200 meters

or

5x=5(40)=200 meters

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