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Paridhi is faster than Arnav, if average of their speed is 40 km/hr and difference of time taken by them to walk 180 km is 6 hours. Find the speed of Paridhi.1. 90 km/hr2. 50 km/hr3. 60 km/hr4. 12 km/hr5. 10 km/hr |
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Answer» Correct Answer - Option 3 : 60 km/hr Given : Average speed of Arnav and Paridhi = 40 Total Distance = 180 km Total time = 6 hours Calculations : Let the speed of Paridhi = SP Let the speed of Arnav = SA Also , SP > SA ⇒ ( SP + SA )/2 = 40 ⇒ (SP + SA) = 80 Time taken by Paridhi to travel, TP = 180/SP Time taken by Arnav to travel, TA = 180/SA ⇒ 180/ SA – 180/ SP = 6 ----(1) Put, SA = 80 – SP in equation (1) ⇒ SP2 – 20SP – 2400 = 0 ⇒ SP = 60 , –40 ⇒ SP = 60 km/hr ∴ The speed of Paridhi is 60 km/hr. |
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