Question

The graph shows the variation of speed of a car with time. Find the distance travelled in first $8hours$. (Given: $E$ = $3seconds$ and $G$ = $35kmph$).

• A. $280km$
• B. $262.5km$
• C. $220km$
• D. $242.5km$

Answer 1

The correct option is D $242.5km$

Distance travelled by the car = Area under the speed-time curve
$\therefore$ Distance travelled = Area of trapezium $OABE$ + Area of rectangle $EBCF$
$=\frac{1}{2}(OA+EB)\times \left(OE\right)+\left(EF\right)\left(EB\right)$
$\Rightarrow$ $\frac{1}{2}(10+35)\times \left(3\right)+(8-3)\left(35\right)$ $=\frac{135}{2}+175$
$\Rightarrow$$67.5+175=242.5km$
Hence, the car travelled $242.5km$ in first $8hours$.