Question: mp32q6 a man on a bicycle rides onethird of the...

(MP32Q6)

A man on a bicycle rides one-third of the way from town A to town B at a speed a km/h
and the remainder of the way at 2b km/h.
a) If the distance between the two towns is 9 km, find the time taken to ride from
A to B.

If the man had travelled at a uniform rate of 3c km/h, he could have ridden from A to B
and back again in the same time.
b) Show that 2/c = 1/a +1/b

c) i) Make c the subject of this formula.
ii) Find c, when a = 10 and b = 20.