Quantitative Aptitude :: H.C.F and L.C.M - Discussion
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In the town of Unevenville, it is a tradition to have the size of the front wheels of every cart different from that of the rear wheels. They also have special units to measure cart wheels which is called uneve. The circumference of the front wheel of a cart is 133 uneves and that of the back wheel is 190 uneves. What is the distance traveled by the cart in uneves, when the front wheel has done nine more revolutions than the rear wheel?
A570
B1330
C3990
D389
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LCM of 133 and 190 is 1330.
So, to cover this distance, front wheel takes 10 rounds, and back wheel takes 7 rounds.
So, for 3 rounds extra, 1330 uneves distance has to be travelled.
To take 9 rounds extra, 1330 * 3 = 3990 uneves has to be traveled.
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