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A vehicle travels half the distance (L) with speed ` V_1` and the other half with speed ` V_2`, then its average speed is .A. `v_1 + v_2/2`B. `2v_1 + v_2/v_1 + v_2`C. `2v_(1)v_2/v_1 + v_2`D. `L(v_1 + v_2)/v_(1)v_(2)` |
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Answer» Correct Answer - (c ) Time taken to travel first half distance, `t_1 = (L/2)/v_1 = L/(2v_1)` Time taken to travel second half distance, `t_2 = (L/2)/v_2 = L/(2v_2)` Total time taken = `t_1 + t_2 = L/(2v_1) + L/(2v_2)` Average speed `= ("Total distance travelled")/("Total time taken")` `= L/(L/(2v_1) + L/(2v_2)) = 1/(1/2[1/v_1 + 1/v_2]) = (2v_(1)v_(2))/(v_(2) + v_(1))` |
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