Question: Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is
Let the length of the track be ‘L’ meter and speeds of Mira and Amal be ‘m’ and ‘a’ meters/minute respectively.
When they walk in opposite direction, they meet in 3 minutes.
When they walk in same direction, Amal completes 3 rounds more than Mira. Hence, Amal completes 3L meters more than Mira.
Hence, it takes Mira 7.5 minutes to complete one round.
Hence, in 60 minutes she will cover = 60/7.5 = 8 rounds.
Hence, 8.