Diya has to reach Surat, 804 km away, in 24 hours. The initial speed for 9 hours was 58 km/hr. For the next 162 km her speed was 54 km/hr. At what speed will she have to travel now to reach Surat in the stipulated time of 24 hours?
Diya has to reach Surat, 804 km away, in 24 hours. The initial speed for 9 hours was 58 km/hr. For the next 162 km her speed was 54 km/hr. At what speed will she have to travel now to reach Surat in the stipulated time of 24 hours?
दिया को 24 घंटे में 804 km दूर सूरत पहूँचना है। 9 घंटे तक प्रारंभिक चाल 58 km/hr थी।अगले 162 km तक उसकी चाल 54 km/hr थी। 24 घंटे के निर्धारित समय में सूरत पहूँचने के लिए उसे अब किस चाल से य़ात्रा करनी होगी?
Detailed Solution & Logic
10 km /hr
Total distance = 804 km
Distance covered in first 9 hours:
$58 \times 9 = 522$ km
Distance covered in next part = 162 km
Time taken for next 162 km:
$162 \div 54 = 3$ hours
Total distance covered so far:
522 + 162 = 684 km
Remaining distance:
804 - 684 = 120 km
Total time used so far:
9 + 3 = 12 hours
Remaining time:
24 - 12 = 12 hours
Required speed now:
$120 \div 12 = 10$ km/hr
$\therefore$ Correct Answer: 10 km/hr
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