Question

Samir drove at the speed of 45km/hr from home to a resort.
Returning on the same route, he got stuck in traffic and took an
hour longer. Also, he could drive only at the speed of 40km/hr.
How many kilometres did he drive each way?
a) 250 km (b) 300 km (c) 310 km (d) 275 km (e) None of these

Answer 1

Answer:

None of these

Step-by-step explanation:

Let say Distnace one way = D km

Time Taken = D/45  hr

Time taken in return = D/40  hr

D/40 = D/45  + 1

Multiplying by 360  both sides

=> 9D = 8D + 360

=> D = 360

Distance on one way = 360 km /hr

None of these

Answer 2

Answer:

Distance driven each way = 360 km

(E) None of These

Step-by-step explanation:

In the question,

Speed of Samir from home to resort = 45 km/hr

Speed of Samir from resort to back home = 40 km/hr

Now,

Let us say distance between the Home and Resort is = D

So,

Time taken to reach Resort from Home is given by,

$Time=\frac{Distance}{Speed}\\Time=\frac{D}{45}$

Time taken to reach Home from Resort is,

$Time=\frac{Distance}{Speed}\\Time=\frac{D}{40}$

Also,

Time taken while returning = Time taken while going + 1

So,

$\frac{D}{40}=\frac{D}{45}+1\\\frac{D}{40}-\frac{D}{45}=1\\\frac{9D-8D}{360}=1\\D=360$

Therefore, the Distance in kilometres driven each way is,

D = 360 km

Hence, the correct option is (E).