A piggy bank contains P37 consisting of P1, P2, and P5 coins. The number of P1 coins exceeds seven times the number of P5 coins by one and the number of P2 coins is nine less than the number of P1 coins. How many P5 coins are in the piggy bank
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Step-by-step explanation:
The driver of a car driving at the speed of 38 km/h located a bus 40 m ahead of him. after 20 seconds, the bus is 60 m behind.
We have to find the speed of the bus.
solution : speed of car = 38 km/h = 38 × 5/18 = 10.55 m/s
initial bus is 40 ahead of a car but after 20 seconds it is 60 behind of the car.
so distance gained by car over the bus in 20 seconds = 40 + 60 m = 100m
using formula,
Time = relative distance/relative speed
⇒20 seconds = 100m/( 10.55 - v) , let the speed of bus is v
⇒20 = 100/(10.55 - v)
⇒v = 10.55 - 5 = 5.55 m/s = 5.55 × 18/5 km/h
= 20 km/h
Therefore the speed of the bus is 20 km/h.
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