SOLUTION: If the robbers rob into house somewhere, and leave that place at 3:15 a.m. on car with average speed of 65 Km/h..... Police runs after them at 4:05 a.m. with average speed of 79 km

Question 693283: If the robbers rob into house somewhere, and leave that place at 3:15 a.m. on car with average speed of 65 Km/h..... Police runs after them at 4:05 a.m. with average speed of 79 km/h.... When will they catch the robbers???????

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the robbers rob into house somewhere, and leave that place at 3:15 a.m. on car with average speed of 65 Km/h..... Police runs after them at 4:05 a.m. with average speed of 79 km/h.... When will they catch the robbers???????
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Robber DATA:
rate = 65 km/h ; distance = x km ; time = x/65 hrs.
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Police DATA:
rate = 73 km/h ; distance = x km ; time = x/73 hrs
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Equation:
robber time - police time = 5/6 hr
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x/65 - x/73 = 5/6
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5*73x - 6*65x = 65*73*5
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8*5x = 65*73*5
x = 593 1/8 km
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Robber time: x/65 = 9 1/8 hr
3:15 + (9 1/8 hr) = 12:22.5 PM
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Cheers,
Stan H.
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