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Advait has to reach Kanpur which is 947 km away in 19 hours. His starting speed for 6 hours was 38 km/hr. For the next 70 km his speed was 35km/hr. By what speed he must travel now so as to reach Kanpur in decided time of 19hours?

A64 km/hr

B60 km/hr

C61 km/hr

D59 km/hr

Answer:

D. 59 km/hr

Read Explanation:

Step 1:

Calculate Distance Covered in First 6 Hours

Advait's speed for the first 6 hours was 38km / h so the total distance covered is:

6 × 38 = 228km

Step 2:

Distance Covered in Next Segment

He traveled 70 km at 35km / h so the time taken for this segment is:

70/35 = 2 hours

Step 3:

Remaining Distance and Time

Total distance to cover = 947km Distance already covered = 228 + 70 = 298km

Remaining distance = 947 - 298

= 649km

Total time available = 19 hours

Time already used = 6+2=8 hours

Remaining time = 19-8 = 11 hours

Step 4: Find Required Speed

To cover 649 km in 11 hours, the required speed is:

649/11 = 59km / h


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