One stride of Laura is 1.5 that of Lilly. If Laura can cross the room in 4 strides then in how many strides can Lilly do the same thing?
Please explain step by step. I have asked so many people, but everyone is confusing me.
The answer is 6 strides apparently
if Lily's strides are x feet, then to cover a distance d, it will take d/x strides.
Laura's strides are 1.5x, so it will take her d/(1.5x) = 4
so, d = 4* 1.5x = 6x
so it will take Lily 6 strides
To solve this problem, we need to set up ratios comparing Laura's strides to Lilly's strides and then use those ratios to find the number of strides Lilly can take to cross the room.
Let's start by assigning variables to the unknown quantities in the problem:
Let L represent the number of strides Lilly can take to cross the room.
Given that Laura's stride is 1.5 times that of Lilly, we can write the ratio of Laura's stride to Lilly's stride as:
Laura's stride / Lilly's stride = 1.5
Now, we know that Laura can cross the room in 4 strides. So, her stride length can be calculated using the following equation:
Distance crossed by Laura = Laura's stride * Laura's strides = 1 room length
Therefore, Laura's stride length is:
Laura's stride = 1 room length / Laura's strides = 1 room length / 4 strides
Now, let's plug Laura's stride length into the ratio equation and solve for Lilly's stride length:
1.5 = Laura's stride / Lilly's stride
1.5 = (1 room length / 4 strides) / Lilly's stride
To isolate Lilly's stride length, we can cross-multiply and solve for Lilly's stride:
1.5 * 4 strides = (1 room length / Lilly's stride) * 4 strides
6 strides = 1 room length / Lilly's stride
Lilly's stride = 1 room length / 6 strides
Now that we know Lilly's stride length is 1 room length divided by 6 strides, we can calculate the number of strides Lilly would take to cross the room:
Lilly's strides = Distance crossed by Lilly / Lilly's stride = 1 room length / Lilly's stride = 1 room length / (1 room length / 6 strides) = 6 strides
Therefore, Lilly would take 6 strides to cross the room.
I hope this explanation helps clear any confusion. Let me know if you have further questions!