Question

A car moves with a speed of 40km/hr for 15mins and then with a speed of 60km/hr for 15mins.Find the total distance covered by the car

Answer 1

$\boxed{ \bold{Speed = \dfrac{distance}{time}}}$

When car moves with the speed of 40 km/hr : -

⇒ Speed = Distance / time

⇒ 40 km / hr = Distance / 15 min

⇒ 40 km / hr x 15 min = Distance

⇒ 40 km / hr x 15 x 1 / 60 hr = Distance

⇒ 40 km x 15 x 1 / 60 = Distance

⇒ 4 x 15 x 1 / 6 km = Distance

⇒ 10 km = Distance = D₁

∴ The distance covered by car while moving with the speed of 40 km / hr is 10 km.

When car moves with the speed of 60 km / hr

⇒ Speed = Distance / time

⇒ 60 km / hr = Distance / 15 min

⇒ 60 km / hr x 15 min = Distance

⇒ 60 km / hr x 15 x 1 / 60 hr = Distance

⇒ 15 km = Distance = D₂

∴ The distance covered by car while moving with the speed of 60 km / hr is 15 km.

Therefore, total distance covered = D₁ + D₂

total distance covered = 10km + 15 km

total distance covered = 25 km

Hence, total distance covered by the car is 25 kilometers.

Answer 2

$\underline{\large\bf{\mathfrak{Hello!}}}$

According to the question;

In 15 mins the car moves with a speed of 40 km/hr

(15 min = $\frac{15}{60} hr$ = $\frac{1}{4} hr$)

So, the distance (D1) covered in 1/4 hr and with speed of 40 km/hr is:

$Distance = Speed \times time$
= 40 × $\frac{1}{4}$ km
= 10 km

Then, next;
In 15 mins the car moves with a speed of 60 km/hr

(15 min = $\frac{15}{60} hr$ = $\frac{1}{4} hr$)

So, the distance (D2) covered in 1/4 hr and with speed of 60 km/hr is:

$Distance = Speed \times time$
= 60 × $\frac{1}{4}$ km
= 15 km

So, the total distance covered by car = D1 + D2

= 10 km + 15 km
= 25 km

$\boxed{Total \: distance \: covered \: by \: the \: car = 25 km}$

$\bf{\mathfrak{Hope \: this \: helps...:)}}$