A man covers half of his journey at 6 km/h and the remaining

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RRB ASM Exam (Ajmer) 2007 click here to view all questions

A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. His average speed is

A9 km/h

B4.5 km/h

C4 km/h

D3 km/h

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Answer is : 4 km/h Explanation: Given, A man covers half of his journey at 6 km/h = $\frac{0.5j}{6}$.......(i) the remaining half at 3 km/h = $\frac{0.5j}{3}$ ................(ii) Average speed = equation (i) + equation (ii) $\frac{j}{s}= \frac{0.5 j}{6} + \frac{0.5j}{3}$ $\frac{j}{s}=\frac{0.5j}{6} + \frac{j}{6}$ $\frac{j}{s} = \frac{1.5j}{6}$ $\frac{1}{s} = \frac{1.5}{6}$ $6 = 1.5 s$ $s = \frac{6}{1.5}$ $s = \frac{60}{15}$ $s = 4$ --------------------------------------------------------------------------------------- Shortcut Formula: If Two speed is geven $\text{Average speed }= \frac{2xy}{x+y};$ $= \frac{2*6*3}{6+3};$ $= \frac{36}{9}$ = 4 kmp/h. Nithin K ? answered Nov 20 '2016 at 21:47 All Comments

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