A man starts from a place P and reaches the place Q in 7

A man starts from a place P and reaches the place Q in 7 hours.
He travels 1 th of the distance at 10 km/hour
4
and the remaining distance at 12 km/hour. The distance between P and Q is

Time =	Distance
	Speed

According to the question,

x	+	3x	= 7
10		12

⇒	x	+	x	= 7
	10		4

⇒	2x + 5x	= 7
	20

⇒ 7x = 7 × 20

∴ x =	7 × 20	= 20 km.
	7

∴ PQ = 4x = 4 × 20 = 80 km.

He travels	1	th of the distance at 10 km/hour
	4