a person start traveling from patna a uniform speed & cover distance of 60 km at 10am & he cover 150 km at 1pm if he reached mumbai at 5pm then find distance between patna and mumbai
Answers
The distance between Patna and Mumbai will be 330 km.
Step-by-step explanation:
Step 1:
Note that the speed will be uniform throughout the journey.
The distance covered at 10 a.m. = 60 km
The distance covered at 1 p.m. = 150 km
So, the distance covered within (10 a.m. to 1 p.m.) 3 hrs = 150 – 60 = 90 km
∴ the speed of the person = 90/3 = 30 km/hr
Step 2:
It is given that the person reaches Mumbai at 5 p.m. i.e., after 1 p.m he had travelled for 4 hrs more with the uniform speed of 30 km/hr.
So, the distance covered from 1 p.m. to 5 p.m. in the span of 4 hrs = 30 * 4 = 120 km
Thus,
The distance between Patna and Mumbai is given as,
= [Distance covered at 1 p.m.] + [Distance covered between 1 p.m. to 5 p.m.]
= 150 + 120
= 270 km
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