Question

Elena Walks at a speed of 1.4m s^-1How long will it take her to travel 500mhow far will she travel if she walks for 2 hours? give your answer in units of km.​

Answer 1

1) v=d/t
1.4=500/d
d=500/1.4
= 357.14 seconds

2) 2x60x60= 7200 seconds
v=d/t
1.4=d/7200
d=1.4x7200
= 10080 m

10080/1000= 10.08km

Answer 2

`\bold{\huge{\pink{\underline{ Solution }}}}`

Given :-

• Elena walks at a speed of 1.4m/s

To Find :-

• We have to find the time taken by Elena to cover a distance of 500 m
• And,
• The distance covered by Elena in 2 hours

Concept Used :-

Here, we will use the concept of speed, distance and time

• Speed is the distance per unit time
• Distance is measurement of length between two or more point of reference
• Time is the distance by speed

Let's Begin :-

We have given two conditions here

• How long it will take Elena to cover distance of 500 m
• How far she travels if she walks for 2 hours

Condition 1 :-

We know that,

`\bold{\pink{ Speed = }}{\bold{\pink{( Distance )/(Time)}}}`

• Speed = 1.4m/s
• Distance = 500 m

Subsitute the required values in the above formula :-

`\sf{1.4 = }{\sf{( 500 )/(t)}}`

`\sf{ t = }{\sf{( 500 )/(1 .4)}}`

`\sf{ t = }{\sf{( 500 )/(1.4)}}`

`\bold{\boxed{\red{ t = 357.14 \:sec }}}`

Hence, Time taken by Elena to cover distance of 500 m is 357.14 sec

Condition 2 :-

We know that,

`\bold{\pink{ Speed = }}{\bold{\pink{( Distance )/(Time)}}}`

• Speed = 1.4m/s or 5.04km/h

[ Speed = 1.4 * 60 × 60/1000

Speed = 1.4 × 18/5 = 5.04 km/h }

• Time = 2 hours

Subsitute the required values in the above formula :-

`\sf{ 5.04 = }{\sf{( S(Distance))/(2)}}`

`\sf{ S = 5.04 }{\sf{*{ 2}}}`

`\bold{\tt{\boxed{\red{ S = 10.08 km }}}}`

Hence, The distance covered by Elena in 2 hours is 10.08 km.