The ratio between the speeds of a bus and bike is 5 : 8. If the bus travels 120 km in 2 hours, find the speed of the bike.

Question: The ratio between the speeds of a bus and bike is 5 : 8. If the bus travels 120 km in 2 hours, find the speed of the bike.

Solution:
Let,
the speed of bus and bike is 5x and 8x.

Speed of bus = 120/2
= 60 km/h

ATQ,
5x = 60
⇒ x= 60/5
∴ x = 12

Speed of bike = 8x = (8 × 12) = 96 km/h