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Question

A car moves with a speed of $$40$$km$$/$$h for $$15$$ minutes and then with a speed of $$60$$ km$$/$$h for the next $$15$$ minutes. The total distance covered by the car is :


A
100km
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B
25km
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C
15km
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D
10km
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Solution

The correct option is B $$25$$km
Given data:
Speed, $$S_1$$ is 40 km/hr
Speed, $$S_2$$ is 60 km/hr
Time, $$T_1 $$ is 15 minutes $$= \dfrac 14$$ hr
Time, $$T_2$$ is 15 minutes $$= \dfrac 14 $$ hr

Using $$S_1$$ and $$T_1$$ in the equation:
Distance $$= $$ Speed $$\times$$Time

$$D_1 = S_1 \times T_1$$
   $$ =40 \times \dfrac 14$$
   $$=10$$ kms

Using $$S_2$$ and $$T_2$$ in the equation: 
Distance $$=$$ Speed $$\times$$ Time

$$D_2=S_2\times T_2$$
    $$=60\times \dfrac{1}{4}$$
    $$=15$$ kms

Total kms covered $$ =D1+D2=10+15=25$$ kms.
 

Science
NCERT
Standard VII

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