Vikas can cover a distance in 1 hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph the total distance is?
Answer & explanation
Correct answer: option 2
Let the total distance travelled be = x km
Time = 1 + \(\frac{24}{60}\) = 1 + \(\frac{2}{5}\) = \(\frac{7}{5}\)
We know that,
Speed = \(\frac{ Distance}{ Time}\)
Time = \(\frac{ Distance}{Speed}\)
\(\frac{7}{5}\) = \(\frac{ 2/3 x }{4}\) + \(\frac{ 1/3 x }{5}\)
\(\frac{7}{5}\) = \(\frac{ 2x }{12}\) + \(\frac{ x }{15}\)
\(\frac{7}{5}\) = \(\frac{\text {10x + 4x }}{60}\)
\(\frac{7}{5}\) = \(\frac{\text {14x }}{60}\)
x = \(\frac{\text { 7 x 60}}{\text{14 x 5}}\)
x = 6 km