Question

A man covers 2/3 distance at a speed of 30 km/hr and the remaining at 60 km/hr. If the total distance he covered is 300 km. Find the average speed of the man.​

Answer 1

Answer:

415km/hr

Step-by-step explanation:

2/3=30km/hr

1/3=60km/hr

2/3+1/3=3/3=1

t1=distance1/time=2/3÷30=1/45h

t2=1/3÷60=1/20 h

total time=1/45+1/20=13/180

average speed=total/total time

=300/13/180=415km/hr

Answer 2

Answer:

32.75 is the average speed of the man

Step-by-step explanation:

Explanation:

Total distance covered by a man  = 300km

A men covers $\frac{2}{3}$ distance at speed = 30km/hr

And the remaining distance he covered with speed = 60 km/hr

Average speed = $\frac{Total \ distance }{ Total \ Time }$

Step 1:

From the question , a man covered $\frac{2}{3}$ distance with speed = 30 km/hr

So ,  the distance = $\frac{ 2 (300)}{3}$ = 2 × 100 = 200 km

and  time taken  to covered 200km distance ($t_1$) = $\frac{200 }{30}$ = 6.66hr

Now ,  the remaining $\frac{1}{3}$ distance covered at speed = 60km

So the distance  = $\frac{300}{3}$ = 100 km

Time taken to covered 100 km $(t_2)$  = $\frac{100}{60}$ = 2.5 hr

Step 2:

Average speed = $\frac{Total \ distance }{ Total \ Time }$

⇒Average speed = $\frac{200 + 100}{6.66+ 2.5}$ = $\frac{300}{9.16}$ = 32.75 km/hr

Final answer:

Hence , the average speed of the man is 32.75 km/hr

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