out of 555 km total journey, a bus travelled some distance with average speed 60 km/hr. Then speed is increased by 15 km/hr to complete the remaining journey. It takes 8 hrs to complete the total journey.find the distance and time that the bus travelled by average speed 60 km/hr.
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Step-by-step explanation:
Let x km distance covered with speed 60 km/h
and (555 - x) km distance with speed (60 + 15) = 75 km/h
Total time taken to complete journey = 8 hrs
∵ time = distance/speed
∴ total time taken to complete journey = time taken to cover distance x km with speed 60 km/h + time taken to cover distance (555 - x) km with speed 75 km/h
⇒ 8 = x/60 + (555 - x)/75
⇒ 8 = (5x + 4 × 555 - 4x )/300
⇒ 8 = (x + 2220)/300
⇒ 8 × 300 = x + 2220
⇒ 2400 - 2220 = x
⇒ x = 180 km
Hence , distance covered by speed = 180 km
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