Question

A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5
hours by travelling 4km/hr faster than car. What is the distance between the two cities? Find
the speeds of the car and van.

Answer 1

Answer:

Let speed of car=C and of van=V, d=distance between two cities, t=time. It is given

t=d/C=6, d=6C equation 1

V=4+C

t=d/V=5.5

d/(4+C)=5.5

6C/(4+C)=5.5

6C=5.5×4+5.5C

0.5C=5.5×4

C=5.5×4/0.5=44

V=44+4=48

d=6×44=264