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A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and the second half of distance at speed v. The average speed is 48 km/h. Find the value of v(a) 56 km/h(b) 60 km/h(c) 50 km/h(d) 48 km/h

Hrishant Goswami , 11 Years ago
Grade 10
anser 1 Answers
Amit Saxena

Last Activity: 11 Years ago

(b)
    48=   200/((100/40)+(100/v) )
    or 1/40+1/v=  2/48=1/24
    or  1/v=1/24-1/40=2/120=1/60
    or v=60km/h
    [Alt:  v_av  = (2v_1 v_2)/(v_1+v_2 ) => 48= (2×40×v)/(40+v)   =>  v=60 km/h]

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