# Easy Time, Speed & Distance Solved QuestionAptitude Discussion

 Q. Vikas can cover a distance in 1 hr 24 min by covering (left(dfrac{2}{3}right)^{rd})of the distance at 4 kmph and the rest at 5kmph. The total distance is?
 ✖ A. 4 km ✔ B. 6 km ✖ C. 8 km ✖ D. 10 km

Solution:
Option(B) is correct

Let total distance be $S$

total time = 1 hr 24 min = 84 min

$\dfrac{84}{60}=\dfrac{21}{15}$ hr

Let Vikas travels from $A->T->S$

A ------------------------ T ------------ S

<---------- $\left(\dfrac{2S}{3}\right)$---------><----$\left(\dfrac{S}{3}\right)$---->

$A$ to $T$ :: speed = 4 kmph

Distance = $\left(\dfrac{2}{3}\right)\times S$

T to S :: speed = 5 km =

Distance = $\left(1-\dfrac{2}{3}\right)S=\dfrac{1}{3}S$

Total time:

$\dfrac{21}{15}=\dfrac{2/3S}{4}+\dfrac{1/3S}{4}$

$84=10S+4S$ {Multiply both sides by $15\times 4$}

$S=\dfrac{84}{14}=6$ km