Question
Download Solution PDFRashi travelled a distance of 400 km at an average speed of 50 km/h. She covers the first half distance in the first lag in 2 hours, while she covers another lag at half the speed of that of the first lag in 1 hour. What is the speed (in km/h) of the remaining distance?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total distance travelled by Rashi = 400 km.
Average speed = 50 km/h.
First half distance (200 km) covered in 2 hours.
Second lag speed is half of the first lag speed and covered in 1 hour.
Formula Used:
Speed = Distance / Time
Calculation:
First half distance = 200 km
Time taken for the first half = 2 hours
Speed of the first lag = 200 km / 2 hours
Speed of the first lag = 100 km/h
Speed of the second lag = 100 km/h / 2
Speed of the second lag = 50 km/h
Time taken for the second lag = 1 hour
Distance covered in the second lag = Speed × Time
Distance covered in the second lag = 50 km/h × 1 hour
Distance covered in the second lag = 50 km
Total distance covered in the first two lags = 200 km + 50 km
Total distance covered in the first two lags = 250 km
Remaining distance = Total distance - Distance covered in the first two lags
Remaining distance = 400 km - 250 km
Remaining distance = 150 km
Time taken for the remaining distance = (Total time - Time taken for the first two lags)
Total time = Total distance / Average speed
Total time = 400 km / 50 km/h
Total time = 8 hours
Time taken for the first two lags = 2 hours + 1 hour
Time taken for the first two lags = 3 hours
Time taken for the remaining distance = 8 hours - 3 hours
Time taken for the remaining distance = 5 hours
Speed of the remaining distance = Remaining distance / Time taken for the remaining distance
Speed of the remaining distance = 150 km / 5 hours
Speed of the remaining distance = 30 km/h
The speed of the remaining distance is 30 km/h.
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