Subject
Quantitative Aptitude
Topic
Speed & Distance
Two men A and B start walking simultaneously from P to Q, a distance of 21 kms, at the speeds of 3 km and 4 km an hour respectively. B reaches Q, returns immediately and meets A at R. Then the distance from P to R is :
Two men A and B start walking simultaneously from P to Q, a distance of 21 kms, at the speeds of 3 km and 4 km an hour respectively. B reaches Q, returns immediately and meets A at R. Then the distance from P to R is :
ক)
6 kmখ)
12 kmগ)
18 kmঘ)
24 kmঙ)
15 kmExplanation
Let the distance of R from Q be x km. Thus, according to question Time taken by man A to move from P to R = time taken by man B to move from P to Q and then return from Q to R i.e. (21 – x)/ 3 = (21 + x)/ 4 ⇒ 4(21 – x) = 3(21 + x) ⇒ 84 – 4x = 63 + 3x ⇒ 7x = (84 – 63) ⇒ 7x = 21 ∴ x = 21/7 = 3 km Thus, the distance from P to R is (21 – 3) = 18 km.Related questions
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