Question : Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/hr and 36 km/hr, respectively. The distance between the buses after 15 seconds is ________.
Option 1: 175 m
Option 2: 350 m
Option 3: 250 m
Option 4: 150 m
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Correct Answer: 250 m
Solution : Speed of Bus A = 48 km/hr = $48×\frac{5}{18}=\frac{40}{3}$ m/s Speed of bus B = 36 km/h = $36×\frac{5}{18}=10$ m/s Distance covered by bus A in 15 sec ⇒ Distance = $\frac{40}{3}$ × 15 = 200 m Distance covered by bus B in 15 sec ⇒ Distance = 10 × 15 = 150 m As the two roads are at a right angle, so ⇒ Let Base = 200 m and Height = 150 m Here, Hypotenuse = Distance between two buses By Pythagoras theorem Hypotenuse 2 = Base 2 + Height 2 ⇒ Hypotenuse 2 = 200 2 + 150 2 = 40000 + 22500 = 62500 ⇒ Hypotenuse = $\sqrt{62500}$ = 250 m Hence, the correct answer is 250 m.
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