Question

3. If a man travels at a speed of 30 km/h, he reaches his destination 10 minutes
late and if he travels at a speed of 42 km/h, he reaches his destination 10
minutes early. The distance travelled is
(2019)​

Answer 1

Answer:

Hence, distance is 2100 km.

If a man travels at a speed of 30km/h, he reaches his destination 10 minutes late and if he travels at a speed of 42 km/h, he reaches his destination 10 minutes early.

Answer 2

Distance is 2100 km.

Step-by-step explanation:

Since we have given that

Let the time be 't'.

If speed = 30km/hr

Then it takes 10 minutes late

If speed = 42 km/hr

Then, it takes 10 minutes early.

According to question, it becomes,

$\begin{gathered}30(t+10)=42(t-10)\\\\30t+300=42t-420\\\\42t-30t=300+420\\\\12t=720\\\\t=60\end{gathered}$

30(t+10)=42(t−10)

30t+300=42t−420

42t−30t=300+420

12t=720

t=60

So, the distance would be

$\begin{gathered}30(60+10)\\\\=30\times 70\\\\=2100\ km\end{gathered}$

30(60+10)

=30×70

=2100 km

Hence, distance is 2100 km.

$\huge \red{ \underline{ \bold{@Manal \: Badam}}}$