Question : A car covers the first 210 km at a speed of 70 km/h, it covers the next 170 km at a speed of 85 km/h. What is its average speed?
Option 1: 72 km/h
Option 2: 76 km/h
Option 3: 74 km/h
Option 4: 68 km/h
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Correct Answer: 76 km/h
Solution : Distance covered in the first case = 210 km Speed in the first case = 70 km/h Time taken in the first case = $\frac{210}{70}$ = 3 hr Distance covered in the second case = 170 km Speed in the second case = 85 km/h Time taken in the second case = $\frac{170}{85}$ = 2 hr Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ = $\frac{210+170}{3+2}$ = $\frac{380}{5}$ = 76 km/h Hence, the correct answer is 76 km/h.
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