Answer:
speed of commuter bus: 32 km
speed of passenger car : 48 mph
Step-by-step explanation:
We will use the concept of speed distance and time.
where time = distance / speed
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Let the speed of commuter bus be x mph
Given that passenger car travels 16 mph faster than commuter bus.
Speed of passenger car if speed of commuter bus is x mph (x+16)mph
Distance traveled by commuter bus = 56 miles
Time taken by commuter bus to travel 56 miles = 56/X (1)
Distance traveled by passenger car = 84 miles
Time taken by passenger car to travel 84 miles = 84/(X+16) (2)
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It is given that time taken by both bus and car is same
so equating equation 1 and 2
we have
56/X = 84/(X+16) (by cross multiplication we have)
=> 56(X+16) = 84*X
=> 56X + 896 = 84X
=> 896 = 84X - 56 X
=> 896 = 28X
=> X = 896/28 = 32.
Therefore , speed of commuter bus is x mph or 32 km
speed of passenger car is x+16 mph = (32+16) mph = 48 mph
