A bus averages 6 miles per hour faster than a trolley. If the bus travels 90 miles in the same time it takes the trolley to travel 75 miles, then what is the speed of each?
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Speed of trolley = 30 miles/hr & Speed of Bus = 36 miles/hr
Step-by-step explanation:
Let say Speed of Trolley = S Miles/hr
Speed of Bus = S + 6 Miles/hr
Time taken by Trolley to cover 75 Miles = 75/S hr
Time Taken by Bus to cover 90 Miles = 90/(S + 6) hr
75/S = 90/(S + 6)
=> 5/S = 6/(S + 6)
=> 5S + 30 = 6S
=> S = 30
Speed of trolley = 30 miles/hr
Speed of Bus = 30 + 6 = 36 Miles/Hr
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