Question

P travels for 70 hours. He travels half of his journey with speed 30 km/hr and other half by 40km/hr. Find the total distance travelled​

Answer 1

If P travels half of the journey at a speed of 30 km/hr and other with 40 km/hr for 70 hrs then the total distance is 2400 km.

Step-by-step explanation:

Time taken by P for the complete journey = 70 hrs

Let the total distance travelled by P be “d” km.  

So, time taken by P for the first half of his distance “d/2” with a speed of 30 km/hr = [$\frac{\frac{d}{2}}{30}$] hr

And, time taken by P for the other half of his distance “d/2” with a speed of 40 km/hr = [$\frac{\frac{d}{2}}{40}$] hr

According to the question, we can write the eq. as,

[$\frac{\frac{d}{2}}{30}$] + [$\frac{\frac{d}{2}}{40}$] = 70

⇒ $\frac{d}{60}$ +  $\frac{d}{80}$ = 70

⇒ d [$\frac{80+60}{80*60}$] = 70

⇒ d =  $\frac{70*80*60}{140}$

⇒ d = 2400 km

Thus, the total distance travelled by P is 2400 km.

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