New year Math

Algebra Level 2

A man drive his car to the office at 20miles/hr. After reaching the office, he realized that its a new year holiday so he went back home at a speed of 30miles/hr.

Discounting the time spent in the stoppage what was his average speed of his journey ?

50 miles/hr 10 miles/hr 24 miles/hr 36 miles/hr

Jaber Al-arbash by Jaber Al-arbash , 28, USA

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2 solutions

Saksham Jain
Nov 10, 2017

Let distance be s First 20=s/t s=20t Second s=30T T=2/3t Total distance=40t Total time=5/3t Therefore v average=24

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Jaber Al-arbash
Nov 10, 2017

D : distance traveled

T1 : time of going to office

T2 : time of returning back

Y : Average Speed

D = 20 * T1

T1 = D/20

D = 30 * T2

T2 = D/30

2D = Y(T2 + T1)

2D = Y(D/20 + D/30)

2D = Y(3D/60 + 2D/60)

2D = Y(5D/60)

Y = 120D/5D

=> Y = 24

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