A bus is making a trip from Bigtown to Megacity. The average round trip speed is always 57 MPH on this journey. The round trip distance is 156 miles. At Megacity, the bus waits exactly 25 minutes and then returns to Bigtown. If the bus has completed 2/3 of this entire journey, how long has it been since it left Bigtown on the way to Megacity? Round your answer to the nearest minute.
The average round trip speed is always 57 MPH or this journey
Total round trip distance is 156 miles.
The Bus went from Bigtown to Megacity and is returning to Bigtown and has completed 213 of the entire journey.
i.e, the bus has covered a distance equal to.
2/3 * 156 = 104 miles
Time required for completing 104 miles is:
Distance/Velocity = 109/57 = 1.825 hours
= 1.825 * 60 minutes
= 109.5 minutes
Again the Bus waits exactly 25 min at the Megacity. So, total time as elapsed since the Bus left Bigtown on the way to the Megacity is:
109.5 + 25 = 134.5 minutes
= 135 minutes
(Rounding off to the nearest minute)