33.6
Here's how to solve this problem step-by-step:
Step 1: Find the distance covered by auto A.
We know that distance = speed × time. Auto A travels at a speed of 42 km/hr for 2 hours. Therefore, the distance covered by A is:
\(Distance_A = Speed_A \times Time_A = 42 \, km/hr \times 2 \, hr = 84 \, km\)
Step 2: Find the distance covered by auto B.
Auto B covers twice the distance of A, so:
\(Distance_B = 2 \times Distance_A = 2 \times 84 \, km = 168 \, km\)
Step 3: Find the speed of auto B.
Auto B covers 168 km in 5 hours. Using the formula distance = speed × time, we can find the speed of B:
\(Speed_B = \frac{Distance_B}{Time_B} = \frac{168 \, km}{5 \, hr} = 33.6 \, km/hr\)
Therefore, the speed of auto B is 33.6 km/hr.
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