1.

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

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 , S> 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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