Question

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A journey cover in 3 hr with a speed of 90 km per hour what must be speed if the same journey is to be completed in 5 hr.​

Answer 1

Distance = Speed x Time

When speed is 90 kmph

Distance traveled by car = 90 × 3

= 270 km

When speed is 90 kmph

Time taken to complete the journey = 270/90

= 3hours

Answer 2

Question :-

A journey cover in 3 hr with a speed of 90 km per hour what must be speed if the same journey is to be completed in 5 hr.

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Solution :-

➲ Given Information :-

• Time Taken ₁ ➢ 3 hours
• Speed ₁ ➢ 90 km/hr
• Time Taken ₂ ➢ 5 hours

➲ To Find :-

• Speed ₂

➲ Concept :-

• Speed, Distance & Time Simple Word Problems

➲ Formula Used :-

1. $\overline{ \underline{ \boxed{ \boxed{ \rm { \red{speed = \dfrac{distance}{time \: taken} }}}}}}$
2. $\underline{\overline{ \boxed{ \boxed{ \rm{ \red{distance = speed \times time \: taken}}}}}}$

➲ Explanation :-

• Using the Formula for calculation of speed, We will firstly find the Distance of the journey. Then we will use formula for calculation of speed, and will substitute the found and given values in the formula and get our answer i.e., speed required to complete the journey in 5 hours.

➲ Calculation :-

Case 1 :-

Using Formula 2, i.e.,

$\underline{\overline{ \boxed{ \boxed{ \rm{ \red{distance = speed_1 \times time \: taken_1}}}}}}$

We will simply substitute the given values in this formula, We get,

$\sf: \implies distance = 90 \times 3 = \underline{\underline{\blue{270 \: km}}}$

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Case 2 :-

Using the Distance calculated, We will now substitute it in Formula 1 i.e.,

$\overline{ \underline{ \boxed{ \boxed{ \rm { \red{speed_2 = \dfrac{distance}{time \: taken_2} }}}}}}$

$: \implies \sf speed_2 = \dfrac{270}{5} = \underline{\underline{\green{54 \: km/hr}}}$

∴ Speed ₂ if this journey should be completed in 5 hours should be 54 km/hr

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Final Answer :-

• Speed if this journey should be completed in 5 hours should be 54 km/hr.

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