Interesting Math Question

Interesting Math Question Solution - 16 October

Bobby and Wilbur decided to take their respective car out of the garage and race. None of them cheated and they both stood at the start time and decided to cover a distance in full throttle. The first to reach the mark was to be declared the winner.

Upon reaching the finishing mark, they found out that Bobby's car is 1.2 times faster than Wilbur's. Now, Wilbur had reached the mark about 1 minute and 30 seconds later than Bobby. Bobby's car reached the mark at 60 MPH on average.

Can you calculate the distance between the starting mark and the final mark with the help of the given data?

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7.5 Miles

(Speed of Bobby) = 60 MPH = 1.2 x (Speed of Wilbur) [MPH] = 1 M/ min

Thus (Speed of Wilbur) = 60/1.2 [MPH] = 50 [MPH] = 5/6 M/ min

(Time of Wilbur) = D [M] / (Speed of Wilbur) [M/min] = D/ (Speed of Wilbur) [min] = D/(5/6) min = 6D/5 min = 1.2 D min

(Time of Bobby) = D [M] / (Speed of Bobby) [M/min] = D/ (Speed of Bobby) [min] = D/(1) min = D min

Since (Time of Wilbur) – (Time of Bobby) = 1.5 min

Then (1.2 – 1) D min = 0.2D min = 1.5 min

Therefore D = 1.5/0.2 M = 1.5*5 = 7.5 Miles